Geometry and String Theory
HomePage (Rev #88, changes)

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This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started.

Fall 2013 Schedule

References

The 6D (2,0) Theory

• E. Witten,

  E. Witten, Geometric Langlands from Six Dimensions

  Geometric Langlands from Six Dimensions
• D. Freed and C. Teleman,

  D. Freed and C. Teleman, Relative Quantum Field Theory

  Relative Quantum Field Theory
• Aharony, Berkooz, Kachru, Seiberg and Silverstein,

  Aharony, Berkooz, Kachru, Seiberg and Silverstein, Matrix Description of Interacting Theories in Six Dimensions

  Matrix Description of Interacting Theories in Six Dimensions
• Aharony, Berkooz and Seiberg,

  Aharony, Berkooz and Seiberg, Light-Cone Description of (2,0) Superconformal Theories in Six Dimensions

  Light-Cone Description of (2,0) Superconformal Theories in Six Dimensions

Codimension-2 Defects

• D. Gaiotto and E. Witten, Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory

Reduction to 5 dimensions (super Yang-Mills)

• Y. Tachikawa, On S-duality of 5d super Yang-Mills on $S^1$

Reduction to 4 Dimensions ($\mathcal{N}=4$)

• A. Sen,

  A. Sen, Dyon-Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory

  Dyon-Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• C. Vafa,

  C. Vafa, Geometric Origin of Montonen-Olive Duality

  Geometric Origin of Montonen-Olive Duality

Reduction to 3 dimensions

• Dimofte, Gaiotto, Gukov,

  Dimofte, Gaiotto, Gukov, Gauge Theories Labelled by 3-Manifolds

  Gauge Theories Labelled by 3-Manifolds
• Cecotti, Cordova, Vafa,

  Cecotti, Cordova, Vafa, Braids, Walls and Mirrors

  Braids, Walls and Mirrors

4D $\mathcal{N}=2$

• D. Gaiotto,

  D. Gaiotto, $N=2$ Dualities

  $N=2$ Dualities
• Moore and Tachikawa,

  Moore and Tachikawa, On 2d TQFTs whose values are holomorphic symplectic varieties

  On 2d TQFTs whose values are holomorphic symplectic varieties
• Gaiotto, Moore and Tachikawa,

  Gaiotto, Moore and Tachikawa, On 6d N=(2,0) theory compactified on a Riemann surface with finite area

  On 6d N=(2,0) theory compactified on a Riemann surface with finite area

Structure of supersymmetric gauge theories

• N. Nekrasov and V. Pestun,

  N. Nekrasov and V. Pestun, Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories

  Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories
• Aharony, Seiberg and Tachikawa,

  Aharony, Seiberg and Tachikawa, Reading between the lines of four-dimensional gauge theories

  Reading between the lines of four-dimensional gauge theories
• Tachikawa

  Gaiotto, Seiberg and Tachikawa, Comments on scaling limits of 4d N=2 theories

  On the 6d origin of discrete additional data of 4d gauge theories
• Gaiotto, Seiberg and Tachikawa,

  Tachikawa, A pseudo-mathematical pseudo-review on 4d N=2 supersymmetric QFTs

  Comments on scaling limits of 4d N=2 theories
• Tachikawa, A pseudo-mathematical pseudo-review on 4d N=2 supersymmetric QFTs